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Deformations of hyperbolic 3-cone-manioflds | Sadayoshi Kojima
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7 Sep 1998 | Journal: | J. Differential Geometry, 49 (1998), 469-516 | Subject: | Geometric Topology; Differential Geometry MSC-class: 57M50(Primary), 30F40(Secondary) | math.GT math.DG | Affiliation: | TIT | Abstract: | We show that any compact orientable hyperbolic 3-cone-manifold with cone angle at most pi can be continuously deformed to a complete hyperbolic manifold homeomorphic to the complement of the singularity. This together with the local rigidity by Hodgson and Kerckhoff implies the global rigidity for compact orientable hyperbolic 3-cone-manifolds under the same angle assumption. | Source: | arXiv, math.GT/9809034 | Services: | Forum | Review | PDF | Favorites |
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